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Finding the Third Proportional to 556,016 and 1,190,764

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Solution

The third proportional to 556,016 and 1,190,764 is: 2,550,140.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    556,016 : 1,190,764 = 1,190,764 : x
  2. Step 2: Convert to fraction form
    556,016/1,190,764 = 1,190,764/x
  3. Step 3: Cross multiply
    556,016x = 1,190,764 × 1,190,764
  4. Step 4: Simplify right side
    556,016x = 1,417,918,903,696
  5. Step 5: Solve for x
    x = 1,417,918,903,696/556,016
  6. Step 6: Final answer
    x = 2,550,140.47

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.